The asymmetric simple exclusion process


Craig Tracy


University of California - Davis


Fri, 02/02/2018 - 2:30pm to 3:30pm


Carslaw 524, University of Sydney


The asymmetric simple exclusion process (ASEP) is arguably the simplest generalization of simple random walk on the integer lattice to interacting random walkers on the integer lattice.  This lecture will explain why ASEP is an integrable model (Bethe Ansatz solvable) and how exact formulas in ASEP lead to the distribution of the height function for the Kardar-Parisi-Zhang (KPZ) equation.  We will conclude with recent work on blocks and gaps in ASEP; in particular, under KPZ scaling.  No prior knowledge of ASEP will be assumed.

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